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Finding the Fourth Proportional to 897.83, 1,347.47 and 465.11

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Solution

The fourth proportional to 897.83, 1,347.47 and 465.11 is: 698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.83 : 1,347.47 = 465.11 : x
  2. Step 2: Convert to fraction form
    897.83/1,347.47 = 465.11/x
  3. Step 3: Cross multiply
    897.83x = 1,347.47 × 465.11
  4. Step 4: Simplify right side
    897.83x = 626,719.45
  5. Step 5: Solve for x
    x = 626,719.45/897.83
  6. Step 6: Final answer
    x = 698.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.